# N&S Chapter 3: Quadratic problems

Goal:

How to solve an(y) equation of the form
ax2+bx+c=0
(or determine there are no solutions.)
1 / 19
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 3

This lesson contains 19 slides, with interactive quizzes and text slides.

## Items in this lesson

Goal:

How to solve an(y) equation of the form
ax2+bx+c=0
(or determine there are no solutions.)

#### Slide 1 -Slide

a=0
ax2+bx+c=0
That's a linear equation ...

b=0
ax2+bx+c=0

Solve
x29=0

Solve
x2+9=0

2 solutions
1 solution
no solutions

c=0
ax2+bx+c=0

Solve
x29x=0

Solve
x2+9x=0

a0b0c0
ax2+bx+c=0

solve

x2+6x16=0

#### Slide 11 -Open question

Can you solve the equation in one go?

Solve
(x+2)2=9

Solve
(x+2)(2x5)=0

#### Slide 14 -Open question

Multiply out brackets
Don't multiply out brackets

#### Slide 15 -Drag question

(If they don't have obvious solutions.)

#### Slide 16 -Slide

Steps:
1. Multiply out brackets

2. Write in form

3. Write in form

4. Determine which solution method you need
ax2+bx+c=0
x2+abx+ac=0

b=0
c=0
a,b,c =/= 0

Exercise
15, 17, 18